Finite inhomogeneous shearing deformations of a transversely isotropic incompressible material

The present paper deals with finite inhomogeneous shearing deformations of a slab of a special anisotropic solid. Two cases according to the direction s of the anisotropic director of the medium are examined. In one case the s olution reduces to a quadrature and gives an exact deformation field for pa rticular values of the material constants. In the other case an exact solut ion is obtained. All such solutions reduce to the same existing solution fo r the corresponding isotropic elastic material.